Answer:
y = 12
Step-by-step explanation:
∵ m∠ABC = 40
∵ BD ray is the bisector of ∠ABC
∴ m∠ABD = m∠CBD = 20
In 2 Δ BAD and BCD:
∵ m∠BAD = m∠BCD = 90°
∵ m∠ABD = m∠CBD = 20°
∵ BD is a common side in the two triangles
∴ ΔABD congruent to ΔCBD⇒(AAS)
∴ AD = CD
∴ 3y + 6 = 5y - 18
∴ 5y - 3y = 6 + 18
∴ 2y = 24
∴ y = 24/2 = 12
Answer:
When you have two sets of data, one that represents an independent variable (X) and another that represents a dependent variable (Y) (it is a response of the first variable). A diagram called scatterplot can be generated to present the ordered pairs (X, Y) in the Cartesian plane to see how the two variables are related.
In this case the independent variable (X) is the age variable of the calf and the dependent variable (Y) is the weight of the calf.
The diagram can be seen in the attached file.
Step-by-step explanation:
The volume of the cone is 84.9 km³
<h3>How to find the volume of a cone?</h3>
Volume of a cone = 1 / 3 πr²h
where
Therefore,
radius = 3 km
height = √9.5² - 3²
height = √81.25
height = 9.01387818866
height = 9.014 km
Volume of a cone = 1 / 3 × 3.14 × 3² × 9.014
volume of the cone = 254.732197612 / 3
volume of the cone = 84.9107325372
volume of the cone = 84.9 km³
learn more on volume here: brainly.com/question/17075150
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Answer:
13
1.57
Step-by-step explanation:
So we have two equations regarding the number of quarters <em>q</em> and the number of pennies <em>p:</em>
<em />
<em />
Which represents the total amount of coins and
Which represents the total amount of money in dollars.
So we are asked to evaluation each expression for the situation in which we have 6 quarters and 7 pennies. Thus, plug 6 in for <em>q</em> and 7 in for <em>p:</em>
<em />
<em />
This tells us that we have 16 coins in total.
This tells us that we have a total amount of $1.57.
Answer:
7π cm² ≈ 22.0 cm²
Step-by-step explanation:
The shaded area is the difference between the area of Circle B and the areas of Circle C and Circle O. That is, those white areas are subtracted from the area of Circle B to get the shaded area.
The formula for the area of a circle is
A = πr²
Using this, we find ...
Circle B area = π(3 cm)² = 9π cm²
Circle C area = Circle O area = π(1 cm)² = π cm²
Then the shaded area is ...
Shaded Area = Circle B area - Circle C area - Circle O area
= (9π cm²) - (π cm²) - (π cm²)
= 7π cm² ≈ 22 cm²
